A bug and a grasshopper enjoy a ride on a spinning rod that rotates freely about a vertical axle with angular velocity @o. The bug has mass m¡, the grasshopper has mass m,, and the rod has moment of inertia IR about the axis of rotation. Each of the insects is at a distance S from the axle. Suddenly the bug and the grasshopper see an approaching bird. In desperation, the grasshopper jumps off horizontally in the direction shown (see the top view figure) with velocity of magnitude vo, while the bug falls off the rod vertically down. What is the angular velocity (magnitude and direction) of the rod after both insects have left the rod? Top view ахis Vo

A bug and a grasshopper enjoy a ride on a spinning rod that rotates freely about a vertical axle with angular velocity @o. The bug has mass m¡, the grasshopper has mass m,, and the rod has moment of inertia IR about the axis of rotation. Each of the insects is at a distance S from the axle. Suddenly the bug and the grasshopper see an approaching bird. In desperation, the grasshopper jumps off horizontally in the direction shown (see the top view figure) with velocity of magnitude vo, while the bug falls off the rod vertically down. What is the angular velocity (magnitude and direction) of the rod after both insects have left the rod? Top view ахis Vo